85308973929 has 135 divisors (see below), whose sum is σ = 143241395143. Its totient is φ = 50583063168.

The previous prime is 85308973879. The next prime is 85308973931. The reversal of 85308973929 is 92937980358.

The square root of 85308973929 is 292077.

It is a perfect power (a square), and thus also a powerful number.

85308973929 is a `hidden beast` number, since 8 + 530 + 8 + 9 + 7 + 3 + 92 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66417021225 + 18891952704 = 257715^2 + 137448^2 .

It is not a de Polignac number, because 85308973929 - 2²¹ = 85306876777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85308973949) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1027818922 + ... + 1027819004.

Almost surely, 2^85308973929 is an apocalyptic number.

85308973929 is the 292077-th square number.

85308973929 is the 146039-th centered octagonal number.

It is an amenable number.

85308973929 is a deficient number, since it is larger than the sum of its proper divisors (57932421214).

85308973929 is an equidigital number, since it uses as much as digits as its factorization.

85308973929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 85308973929 in words is "eighty-five billion, three hundred eight million, nine hundred seventy-three thousand, nine hundred twenty-nine".